Question types

Laws of Motion question types

401 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

401
Questions
5
Question groups
5
Question types
Sample Questions

Laws of Motion questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

For which of the following objects will the centre of mass NOT be at their geometrical centre?
(I) An egg
(II) a cylindrical box full of rice
(III) a cubical box containing assorted sweets
  • A
    Only (I)
  • B
    Only (I) and (II)
  • C
    Only (III)
  • All, (I), (II) and (III).

Answer: D.

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Select WRONG statement about centre of mass:
  • A
    Centre of mass of a ‘C’ shaped uniform rod can never be a point on that rod.
  • B
    If the line of action of a force passes through the centre of mass, the moment of that force is zero.
  • C
    Centre of mass of our Earth is not at its geometrical centre.
  • While balancing an object on a pivot, the line of action of the gravitational force of the earth passes through the centre of mass of the object.

Answer: D.

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A uniform rod of mass 2m is held horizontal by two sturdy, practically inextensible vertical strings tied at its ends. A boy of mass 3m hangs himself at one third length of the rod. Ratio of the tension in the string close to the boy to that in the other string is
  • A
    2
  • 1.5
  • C
    $4 / 3$
  • D
    $5 / 3$

Answer: B.

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A mass 2m moving with some speed is directly approaching another mass m moving with double speed. After some time, they collide with coefficient of restitution 0.5. Ratio of their respective speeds after collision is
  • A
    2/3
  • 3/2
  • C
    2
  • D
    $1 / 2$

Answer: B.

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The rough surface of a horizontal table offers a definite maximum opposing force to initiate the motion of a block along the table, which is proportional to the resultant normal force given by the table. Forces F1 and F2 act at the same angle θ with the horizontal and both are just initiating the sliding motion of the block along the table. Force F1 is a pulling force while the force F2 is a pushing force. F2 > F1, because
  • Component of F2 adds up to weight to increase the normal reaction.
  • B
    Component of F1 adds up to weight to increase the normal reaction.
  • C
    Component of F2 adds up to the opposing force.
  • D
    Component of F1 adds up to the opposing force.

Answer: A.

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Why do we need to know the centre of mass of an object? For which objects, its position may differ from that of the centre of gravity?
Use g = 10 m s^{-2}, unless, otherwise stated.
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Discuss the following as special cases of elastic collisions and obtain their exact or approximate final velocities in terms
of their initial velocities.
(i) Colliding bodies are identical.
(ii) A very heavy object collides on a lighter object, initially at rest.
(iii) A very light object collides on a comparatively much massive object, initially at rest.
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A bullet of mass $m1$ travelling with a velocity u strikes a stationary wooden block of mass $m2$ and gets embedded into it. Determine the expression for loss in the kinetic energy of the system. Is this violating the principle of conservation of energy? If not, how can you account for this loss?
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